Simple finite-dimensional right alternative superalgebras with unitary even part over a field of characteristic 0


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Abstract

An algebra obtained by the external adjoining a unit to a nilalgebra is said to be unitary. It is proved that every simple finite-dimensional right alternative superalgebra with unitary even part over a field of characteristic 0 is associative.

About the authors

S. V. Pchelintsev

Financial University of the Government of the Russian Federation

Author for correspondence.
Email: pchelinzev@mail.ru
Russian Federation, Moscow

O. V. Shashkov

Financial University of the Government of the Russian Federation

Email: pchelinzev@mail.ru
Russian Federation, Moscow

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